Explain how the probability distribution of the sum of two fair dice is computed.

Select a starting position on the Monopoly board other than Pacific Ave. Place at least one house and one hotel within the range of your roll, where “a roll” is the sum of two dice. The rent you must pay when landing on a property is shown on the Deed card. Assume you do not own any of the properties in that neighborhood. For simplicity, count landing on Chance or on Community Chest to result in a $0 outcome. Let the term payout denote the amount of money you pay on the next roll. Construct the probability distribution of the payout, explaining what you have doing to your patient friend.